Minimal partitions for anisotropic tori

TL;DR

This paper investigates the spectral minimal partitions of anisotropic tori, extending previous results from thin annuli and strips to more general torus geometries.

Contribution

It provides new insights into spectral minimal partitions specifically for anisotropic tori, broadening the understanding from simpler geometries.

Findings

Results extend previous work to anisotropic tori

Similar spectral partition properties as in thin annuli

Advances understanding of spectral geometry on complex surfaces

Abstract

We analyze spectral minimal $k$-partitions for the torus. In continuation with what we have obtained for thin annuli or thin strips on a cylinder (Neumann case), we get similar results for anisotropic tori.